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What I plot on this graph here is as a function time, years, dates, life expectancy as a function of time.
在这儿的这张图是,一个关于时间,年,日期的函数,将寿命长短作为时间的函数
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The last thing I want to say about hashes are that they're actually really hard to create.
最后我想说的是哈希函数非常难以创立,在过去的时间里。
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If I gave you the location of a particle as a function of time, you can find the velocity by taking derivatives.
如果我给出物体的位移是时间的函数,你可以通过求导来得到速度
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So, saying wave functions within molecules might sound a little confusing, but remember we spent a lot of time talking about wave functions within atoms, and we know how to describe that, we know that a wave function just means an atomic orbital.
说分子内的波函数可能,听着有点容易搞混，但记住我们花了很多时间,讨论了原子中的波函数，而且我们知道如何去描述它，我们知道波函数意味着原子轨道。
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What is going on as a function of time?
作为时间的函数它将如何变化
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Sometime later, I will deal with functions of more than one variable, which I will briefly introduce to you, because that may not be a prerequisite but certainly something you will learn and you may use on and off.
再过段时间,我要开始处理多变量函数,到时候我会向你们进行简单介绍,因为那不是必须的,但是你们以后会学到,有时候还能派上用场
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Initially, its location as a function of time is equal to i times x plus j times y.
初始时刻,它的位移作为时间的函数等于,i ? x + j ? y
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So, r is a function of time.
也就是说r关于时间的函数。
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So, in the language of calculus, x is a function of time and this is a particular function.
所以,从微积分的角度来看,x是一个关于时间的函数,而且是个很特殊的函数
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x and y are dependent on time.
和 y 坐标都是时间的函数
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We can also do a similar thing, and I'll keep my distance from the board, but we can instead be holding x constant, for example, putting x to be equal to zero, and then all we're doing is considering the electric field as a function of t.
我们也可以做类似的事情,把x固定为一个常数,例如令x等于零，然后,考虑电场作为时间的函数,这种情况下，我们划掉。
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Then, to find the meaning of b, we take one derivative of this, dx/dt, that's velocity as a function of time, and if you took the derivative of this guy, you will find as at+b. That's the velocity of the object.
接下来,为了弄清b的含义,我们取它的一阶导数,dx/dt,得到速度作为时间的函数,如果你对它求导的话,你会得到at+b,这就是物体的速度
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